Finding the Third Proportional to 8,624 and 12,320

Step by Step Solution

1. Step 1: Write the proportion equation
   8,624 : 12,320 = 12,320 : x
2. Step 2: Convert to fraction form
   8,624/12,320 = 12,320/x
3. Step 3: Cross multiply
   8,624x = 12,320 × 12,320
4. Step 4: Simplify right side
   8,624x = 151,782,400
5. Step 5: Solve for x
   x = 151,782,400/8,624
6. Step 6: Final answer
   x = 17,600